How big of an amp do you want? You can get some decent solid-state combos for $300-500, and both Marshall and Fender have solid-state half-stacks in the $550-600 range that top out around 100 watts.
Well, yeah...
But they are a 100 watts of fart-in-a-tin-can.
Solid state amps are useless for pretty much anything, and that's a fact. Seriously.
Take that one up with Dime.
Yes and no. He ended up using tube amps in the end anyway.
Nevertheless, solid state amps have a "quicker" sound, if that's how you can say it.
A lot of metal guitarists used to go with solid states a few years ago, because they were supposedly less muddy. IMO that doesn't hold that much water, because it's just a matter of adjusting the amp settings properly, and not using too much gain.
Yes, that term, "too much gain" does in fact exist, and many metal guitarists are guilty of that. Solid state amps could handle extreme amounts of gain better back in the early nineties, but modern tube amps have gone a long in way in getting that problem solved. That's why Dime switched to Krank, and could probably just as easily have switched to an ENGL Powerball or a Framus Dragon.
They still do sound muddy if you crank he gain too much, but you don't do that, do you?!

The secret to a fuckin' heavy sound does NOT, I repeat, NOT in a way lie in cranking the gain. It lies in the riffs itself, and the playing. High amounts of gain are great, but it should not become excessive, otherwise you end up sounding like.. Well... Pretty any deathmetal record put out in the early 90s.
In terms of avoiding mud, the Presence knob of you amp is your friend!
Yes, solid state amps can avoid the mud more easily, but with that tiny bit of clarity comes a shrill and cold sound at worst and a bland, boring sound at best.
It also has next to zero dynamics, so it is only good for people for people who play full throttle all the time. If you want any kind of dynamics, and responsiveness to your pick attack, solid states are a no-go.
I don't know who said this, but it sums it up pretty well:
"The solid state amplifies your instrument, the tube amp IS an instrument".
That said, tube amps require more maintenance and care, and can break down if not handled properly. Solid states just work all the time, and don't have any kind of difference in tone from day to day.